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Why would they dismiss her from the jury? Surely she showed she is honest.
She could have been influenced to convict by that act of bribery. By removing her they clear that possibility up, and they have an alternate juror anyway.
That bribery attempt seemed carless in sort of the way that begs the possibility that it might have been set up with the intention of it being found out.
If the whole jury had heard about it, it would have spoiled the whole lot of them, and they would have been forced to call a mistrial. So there's a possible motive for making a fake bribery attempt.
The usual scenario would be that the juror would talk about it in front of the jury, and that would derail the whole trial.
The way I interpreted it the woman's father reported it this time, and I don't know if the woman even knew about it until the court knew about it. They would still likely remove her even if she never heard about it because of the possibility that she had had earlier contact with the person attempting to bribe her, there may have been a possibility of a deal having been set up ahead of time.
Since they have an alternate juror it doesn't cost anything to rule out that outside possibility.